An 80 meter rope is suspended at its two ends from the tops of two 50 meter flagpoles. If the lowest point to which the midpoint
of the rope can be pulled is 36 meters from the ground, then the distance, in meters, between the flagpoles is:
A. 6√39
B. 36√13
C. 12√39
D. 18√13
E. 12√26
Please ignore the other doodles in the picture
A. 6√39
B. 36√13
C. 12√39
D. 18√13
E. 12√26
Please ignore the other doodles in the picture
2 answers:
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Answer:
Ivy is 6 years old and Rose is 12 years old.
Step-by-step explanation:
To solve this problem, two variables are necessary since we have two unknown variables: Ivy's age and Rose's age.
Ivy's age will be
and Rose's age will be
"Ivy is half as old as her sister":
this will be our <u>fist equation.</u>
"In six years, Ivy will be two-thirds as old as Rose"
in six years Ivy will have years, and Rose will have
years, so for this sentence we have the equation:
this will be our <u>second equation.</u>
Substituting the value of x from the first equation into the second, and solving for y(Rose):
Rose is 12 years old.
and Ivy (using the fist equation):
Ivy is 6 years old.